Answer:
Width of 9cm and length of 17cm.
Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.
We also know the area is 153. Substitute this value for A and solve.
To solve the quadratic, use the quadratic formula:
Here a=1, b=8 and c=-153.
Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.
l = 8+9 = 17
or
l=8+-17 = -9
Since length cannot be positive, it must be l=17 and w=9.